Battered Crab Trap cons as "a rare creature". It spawns in the same spots on the sea floor of Abysmal Sea as the regular Crab Trap, but less common. I am not sure what the point is since the loot seems to be the same.
What I got from opening a few battered traps:
1 lb. Saltwater Crab
5 lb. Saltwater Crab
8 lb. Saltwater Crab
10 lb. Saltwater Crab
12 lb. Saltwater Crab